How do you convert the rectangular coordinate #(9.79, 5.13)# into polar coordinates?

1 Answer
Binayaka C.
Dec 28, 2016

Converted polar coordinates are #(11.05, 27.65^0) or (11.05, 0.48 rad)#

Explanation:

if #x,y# be the rectangular coordinate of a point. Then the point expressed in polar codinates as #x=r cos theta ; y=rsin theta ;r=sqrt(x^2+y^2) and theta= tan^_1(y/x) :. r=sqrt(9.79^2+5.13^2)=11.05(2dp) ; theta = tan^-1(5.13/9.79)= 0.48 #radians or #27.65^0(2dp)#
So in polar coordinates the point is expressed as #(r,theta)=(11.05, 27.65^0) or (11.05, 0.48)# radian [Ans]

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